Extension of Sedimentation Velocity Theory to Molecules of Intermediate Sizes

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Abstract
The solutions to the Lamm differential equation of the ultracentrifuge subject to the appropriate initial and boundary conditions constitute the basis from which sedimentation experiments are evaluated. Recently, there has been much interest in the sedimentation behavior of molecules of intermediate sizes. The sedimentation of such molecules is characterized by the fact that the significant change of the concentration distribution occurs close to the meniscus. In such cases an exact mathematical analysis is complex, but we present here an approximate analysis to provide some new information about the sedimentation process. It remains to be seen whether this analysis can be applied in an experimental way to determine the characteristic molecular quantities of such molecules.